It sort of sounds like a trailer connector, but those are typically one row of four pins (there are others, such as round, but these are the most common).
To test this (assuming it's connected and still working), get a test light or voltmeter. Connect the ground lead to the ground pin on the connector (the insulation should be molded to make one pin look different than the rest.
Then, turn on your parking lights and connect the other lead to the other pins, one at a time. You should see current on one of the wires.
Next, turn off the lights, do KOEO, and turn on one of the turn signals. Repeat the test procedure, you should see one of the remaining two wires show a blinking current.
You can test the other side if you like, but once you confirm that you're only getting a blinking current in any of those wires at the same time your turn signal is on, you can basically guarantee it's a trailer connector.
Mike